Least Common Multiple of 371/252, 896/287, 413/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/252, 896/287, 413/893 quickly i.e. 2801792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/252, 896/287, 413/893 is 2801792.

LCM(371/252, 896/287, 413/893) = 2801792

LCM of 371/252, 896/287, 413/893

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 371/252,896/287,413/893

Given numbers are 371/252,896/287,413/893

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 371,896,413

Least Common Multiple of Numerators i.e. LCM of 371,896,413 is 2801792.

GCF of Denominators means GCF of 252,287,893 as per the given fractions.

GCF of 252,287,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,896,413

LCM of Fractions 371/252,896/287,413/893 is 2801792

7 371, 896, 413
53, 128, 59

∴ So the LCM of the given numbers is 7 x 53 x 128 x 59 = 2801792

Least Common Multiple of 371,896,413 with GCF Formula

Least Common Multiple of 371,896,413 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 371,896,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,896,413) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(371,896,413) x common factors =7 x 7 = 49

LCM(371,896,413) = ( 371 × 896 × 413 ) / 49

LCM(371,896,413) = 137287808 / 49

LCM(371,896,413) = 2801792


Lets's calculate GCF of 252,287,893

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2801792/1

Therefore the LCM of Fractions 371/252,896/287,413/893 is 2801792

Greatest Common Factor of 252,287,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,287,893 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 252,287,893 . The biggest common factor number is the GCF number.
So the greatest common factor 252,287,893 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 371/252, 896/287, 413/893

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 371/252, 896/287, 413/893?

Answer: LCM of Numerators as per given numbers 371/252, 896/287, 413/893 is

LCM of Numerators i.e. for 371,896,413 is 2801792

GCF of denominators i.e. for 252,287,893 is 1.

Thus, LCM of Fractions is 2801792.Finally, LCM of Fractions for 371/252, 896/287, 413/893 is 2801792.